Valued-field version of Peterzil's conjecture
Valued-field version of Peterzil's conjecture
Let be a strongly minimal structure that is not locally modular and is interpretable in an algebraically closed valued field.
Valued-field version of Peterzil's conjecture. Then interprets a field.
This is the valued-field analogue of Peterzil's question about whether Zilber's conjecture holds for strongly minimal structures interpretable in o-minimal structures. The source describes Peterzil's original question as still open and studies this direct valued-field translation.
Sources & referencesView supporting material
Primary source
Piotr Kowalski and Serge Randriambololona, “Strongly minimal reducts of valued fields”, arXiv:1408.3298 (2015).
Progress summary
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